If two equations have exactly one common solution then how will the lines be?
Answer and explanation
Correct answer: Lines intersecting at exactly one point
Exactly one common solution means that the graphs of the two linear equations share only one point. Therefore, the lines intersect at exactly one point. Coincident lines have infinitely many common points, whereas distinct parallel lines have no common point. Exam tip: one solution means intersecting lines, no solution means distinct parallel lines, and infinitely many solutions mean coincident lines.
Frequently asked questions
What is the correct answer to this question?
Lines intersecting at exactly one point
Why is this the correct answer?
Exactly one common solution means that the graphs of the two linear equations share only one point. Therefore, the lines intersect at exactly one point. Coincident lines have infinitely many common points, whereas distinct parallel lines have no common point. Exam tip: one solution means intersecting lines, no solution means distinct parallel lines, and infinitely many solutions mean coincident lines.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Pair of Linear Equations in Two Variables. Topic: Conditions for solvability.
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